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Finding the Third Proportional to 284,324 and 608,012

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Solution

The third proportional to 284,324 and 608,012 is: 1,300,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,324 : 608,012 = 608,012 : x
  2. Step 2: Convert to fraction form
    284,324/608,012 = 608,012/x
  3. Step 3: Cross multiply
    284,324x = 608,012 × 608,012
  4. Step 4: Simplify right side
    284,324x = 369,678,592,144
  5. Step 5: Solve for x
    x = 369,678,592,144/284,324
  6. Step 6: Final answer
    x = 1,300,201.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.